On algebraic vector bundles of rank 2 over smooth affine fourfolds
Motivic Homotopy Theory: Connections and Applications October 19, 2026 - October 23, 2026
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
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To what extent do Chow-valued Chern classes determine the isomorphism class of an algebraic vector bundle? When restricted to a smooth affine variety, this question is accessible via motivic obstruction theory. In this talk, I'll discuss some progress on this question for algebraic vector bundles of rank 2 over smooth affine fourfolds. As a consequence, I will deduce some cohomological classification results for specific examples. This is joint work with Thomas Brazelton and Tariq Syed.